Agas in a piston–cylinder assembly undergoes a process for which the relationship between pressure and volume is pvn = constant. the initial pressure is 1 bar, the initial volume is 0.12 m3, and the final pressure is 9 bar. the value of the polytropic exponent is n = 1.9. determine the final volume, in m3, and the work for the process, in kj.
Answers: 1
when n and C are constants. First we determine the C with the initial conditions:
, we need to remember that 1 bar is the same to 100000 Pascals. Then we can calculate the final volume solving the equation given to:![Vfinal=\sqrt[n]{\frac{C}{Pfinal}}](/tpl/images/0243/9460/d4d6e.png)
so we get:![Vfinal=\sqrt[1.9]{\frac{1780}{900000} } = 0.038(m3)](/tpl/images/0243/9460/5529f.png)
. Now using the integration for work:
, replacing data we find the work process like:
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